메뉴 건너뛰기




Volumn , Issue , 2005, Pages 1-393

Functional analysis for probability and stochastic processes: An introduction

Author keywords

[No Author keywords available]

Indexed keywords


EID: 84926152086     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1017/CBO9780511614583     Document Type: Book
Times cited : (171)

References (118)
  • 1
    • 51649147034 scopus 로고
    • Vector-valued laplace transforms and cauchy problem
    • Arendt, W., 1987, “Vector-valued Laplace transforms and Cauchy problem”, Israel J. Math. 59, 327–352.
    • (1987) Israel J. Math , vol.59 , pp. 327-352
    • Arendt, W.1
  • 3
    • 0001982234 scopus 로고
    • translation of 1932 original, North-Holland
    • Banach, S., 1987, Theory of Linear Operations, translation of 1932 original, North-Holland.
    • (1987) Theory of Linear Operations
    • Banach, S.1
  • 7
    • 84926196325 scopus 로고    scopus 로고
    • Path integral representation of the dirac equation in presence of an external electromagnetic field
    • Blanchard, Ph., Combe, Ph., Sirugue, M., Sirugue-Collin, M., “Path integral representation of the Dirac equation in presence of an external electromagnetic field”, pp. 396–413 in Path integrals from
    • Path Integrals From , pp. 396-413
    • Blanchard, P.H.1    Combe, P.H.2    Sirugue, M.3    Sirugue-Collin, M.4
  • 8
    • 84926153678 scopus 로고    scopus 로고
    • Bielefeld Encount. Phys. Math., VII, World Scientific
    • meV to MeV (Bielefeld, 1985), Bielefeld Encount. Phys. Math., VII, World Scientific.
    • Mev to Mev (Bielefeld, 1985)
  • 12
    • 33947154459 scopus 로고
    • Some remarks on the two-dimensional dirac equation
    • Bobrowski, A., 1992, “Some remarks on the two-dimensional Dirac equation”, Semigroup Forum 45, 77–91.
    • (1992) Semigroup Forum , vol.45 , pp. 77-91
    • Bobrowski, A.1
  • 13
    • 84926196140 scopus 로고
    • Computing the distribution of the poisson–kac process
    • Bobrowski, A., 1993, “Computing the distribution of the Poisson–Kac process”, Annales UMCS XLVII, 1 Sec. A, 1-17.
    • (1993) Annales UMCS XLVII, 1 Sec. A , pp. 1-17
    • Bobrowski, A.1
  • 14
    • 51249167127 scopus 로고
    • Degenerate convergence of semigroups
    • Bobrowski, A., 1994, “Degenerate convergence of semigroups”, Semigroup Forum 49, 303–327.
    • (1994) Semigroup Forum , vol.49 , pp. 303-327
    • Bobrowski, A.1
  • 15
    • 0009853280 scopus 로고
    • Integrated semigroups and the trotter–kato theorem
    • Bobrowski, A., 1994, “Integrated semigroups and the Trotter–Kato Theorem”, Bull. Polish Acad. Sci. 41 No. 4, 297–303.
    • (1994) Bull. Polish Acad. Sci. 41 No. 4 , pp. 297-303
    • Bobrowski, A.1
  • 16
    • 78649767282 scopus 로고    scopus 로고
    • Generalized telegraph equation and the sova–kurtz version of the trotter–kato theorem
    • Bobrowski, A., 1996, “Generalized Telegraph Equation and the Sova–Kurtz version of the Trotter–Kato Theorem”, Ann. Polon. Math. LXIV.1, 37–45.
    • (1996) Ann. Polon. Math. LXIV.1 , pp. 37-45
    • Bobrowski, A.1
  • 17
    • 1842457641 scopus 로고    scopus 로고
    • Quasi-stationary distributions of a pair of markov chains related to time evolution of a dna locus
    • Bobrowski, A., 2004, “Quasi-stationary distributions of a pair of Markov chains related to time evolution of a DNA locus”, Adv. Appl. Prob. 36, 57–77.
    • (2004) Adv. Appl. Prob , vol.36 , pp. 57-77
    • Bobrowski, A.1
  • 19
    • 0036180540 scopus 로고    scopus 로고
    • Nonhomogeneous infinite sites model under demographic change: Mathematical description and asymptotic behavior of pairwise distributions
    • Bobrowski, A., Wang, N., Kimmel, M., Chakraborty, R., 2002, “Nonhomogeneous Infinite Sites Model under demographic change: mathematical description and asymptotic behavior of pairwise distributions”, Mathematical Biosciences 175, 83–115.
    • (2002) Mathematical Biosciences , vol.175 , pp. 83-115
    • Bobrowski, A.1    Wang, N.2    Kimmel, M.3    Chakraborty, R.4
  • 26
    • 0023274279 scopus 로고
    • Differential operators with non-dense domain
    • Da Prato, G., Sinestrari, E., 1987, “Differential operators with non-dense domain”, Ann. Squola Norm. Sup. Pisa 14(2), 285–344.
    • (1987) Ann. Squola Norm. Sup. Pisa , vol.14 , Issue.2 , pp. 285-344
    • Da Prato, G.1    Sinestrari, E.2
  • 45
    • 0001229778 scopus 로고
    • On diffusion by discontinuous movements and on the telegraph equation
    • Goldstein, S., 1951, “On diffusion by discontinuous movements and on the telegraph equation”, Quart. J. Mech. App. Math. 4, 129–156.
    • (1951) Quart. J. Mech. App. Math , vol.4 , pp. 129-156
    • Goldstein, S.1
  • 68
    • 0002556819 scopus 로고
    • On the genealogy of large populations
    • Kingman, J. F. C., 1982, “On the Genealogy of Large Populations”, J. Appl. Prob. 19A, 27–43.
    • (1982) J. Appl. Prob , vol.19 , pp. 27-43
    • Kingman, J.1
  • 69
    • 33845412091 scopus 로고
    • The coalescent
    • Kingman, J. F. C., 1982, “The coalescent”, Stoch. Proc. Applns. 13, 235–248.
    • (1982) Stoch. Proc. Applns , vol.13 , pp. 235-248
    • Kingman, J.1
  • 71
    • 0043047252 scopus 로고
    • On second order cauchys equation in a banach space”
    • Kisynski, J., 1970, “On second order Cauchy’s equation in a Banach space”, Bull. Polish Acad Sci. 18 No. 7, 371–374.
    • (1970) Bull. Polish Acad Sci , vol.18 , Issue.7 , pp. 371-374
    • Kisynski, J.1
  • 72
    • 0009183167 scopus 로고
    • On m. Kacs probabilistic formula for the solution of the telegraphist’s equation”
    • Kisynski, J., 1974, “On M. Kac’s probabilistic formula for the solution of the telegraphist’s equation”, Ann. Polon. Math. 29, 259–272.
    • (1974) Ann. Polon. Math , vol.29 , pp. 259-272
    • Kisynski, J.1
  • 73
    • 84926194410 scopus 로고    scopus 로고
    • On cohens proof of the factorization theorem”
    • Kisynski, J., 2000, “On Cohen’s proof of the Factorization Theorem”, Ann. Polon. Math. 75.2, 177–192.
    • (2000) Ann. Polon. Math , vol.75 , Issue.2 , pp. 177-192
    • Kisynski, J.1
  • 74
    • 0000189685 scopus 로고
    • Uber die analytishen methoden in wahrsheinlichkeitsrechnung
    • Kolmogorov, A. N., 1931, “Uber die analytishen Methoden in Wahrsheinlichkeitsrechnung” Math. Ann. 104, 415–258.
    • (1931) Math. Ann , vol.104 , pp. 415
    • Kolmogorov, A.N.1
  • 75
    • 0038899403 scopus 로고
    • Sur un th´eor`eme de paul cohen
    • Koosis, P., 1964, “Sur un th´eor`eme de Paul Cohen”, C. R. Acad. Sci. Paris 259, 1380–182.
    • (1964) C. R. Acad. Sci. Paris , vol.259 , pp. 1380-2182
    • Koosis, P.1
  • 79
    • 84968482205 scopus 로고
    • A general theorem on the convergence of operator semigroups
    • Kurtz, T. G., 1970, “A general theorem on the convergence of operator semigroups”, Trans. Amer. Math. Soc. 148, 23–32.
    • (1970) Trans. Amer. Math. Soc , vol.148 , pp. 23-32
    • Kurtz, T.G.1
  • 82
    • 0002544145 scopus 로고
    • Lower bound technique for markov operators and iterated function systems
    • Lasota, A., Yorke J. A., 1994, “Lower bound technique for Markov operators and Iterated Function Systems”, Random Computational Dynamics 2(1), 41–47.
    • (1994) Random Computational Dynamics , vol.2 , Issue.1 , pp. 41-47
    • Lasota, A.1    Yorke, J.A.2
  • 87
    • 38149146094 scopus 로고
    • On the convergence and approximation of integrated semigroups
    • Lizama, C., 1994, “On the convergence and approximation of integrated semigroups”, J. Math. Anal. Appl. 181, 89–103.
    • (1994) J. Math. Anal. Appl , vol.181 , pp. 89-103
    • Lizama, C.1
  • 104
    • 0004116414 scopus 로고
    • McGraw-Hill. [104] 1991, Functional Analysis, McGraw-Hill
    • Rudin, W., 1974, Real and Complex Analysis, McGraw-Hill. [104] 1991, Functional Analysis, McGraw-Hill.
    • (1974) Real and Complex Analysis
    • Rudin, W.1
  • 106
  • 111
    • 84926226096 scopus 로고    scopus 로고
    • edsLecture Notes in Computer Sciences 3153, Springer
    • Fiala, J., Koubek, V., Kratochwil, J., eds., Lecture Notes in Computer Sciences 3153, Springer.
    • Fiala, J.1    Koubek, V.2    Kratochwil, J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.